Solve for all values of xx by factoring.

Question

x, squared, plus, 7, x, plus, 3, equals, 3
x
2
+7x+3=
3

Answer 1

To solve this equation by factoring, we need to first set the equation to zero. Subtracting 3 from both sides, we get:

x^2 + 7x + 3 - 3 = 0
x^2 + 7x = 0

Next, we factor out an x from the expression:

x(x + 7) = 0

Now, we can set each factor to zero and solve for x:

x = 0
x + 7 = 0
x = -7

Therefore, the values of x are x = 0 and x = -7.